Some integral representation for meta-monogenic function in Clifford algebras depending on parameters

Abstract:

In recent years, the integral representation problems have been studied in many context and generalities. For example, for the monogenic and meta functions in some Clifford type algebras, see [10, 11]. In this paper we construct a Cauchy-Pompeiu type formula for meta-monogenic operator of order , and its conjugate in a Clifford algebra depending on parameters . Using these explicit representation formula of Cauchy-Pompeiu type we will show some applications.

Año de publicación:

2013

Keywords:

Fuente:

google